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Finding the Third Proportional to 24,538.50 and 50,172.75

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Solution

The third proportional to 24,538.50 and 50,172.75 is: 102,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.50 : 50,172.75 = 50,172.75 : x
  2. Step 2: Convert to fraction form
    24,538.50/50,172.75 = 50,172.75/x
  3. Step 3: Cross multiply
    24,538.50x = 50,172.75 × 50,172.75
  4. Step 4: Simplify right side
    24,538.50x = 2,517,304,842.56
  5. Step 5: Solve for x
    x = 2,517,304,842.56/24,538.50
  6. Step 6: Final answer
    x = 102,585.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.